Current Search: Noncommutative differential geometry (x)
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Title
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A study of divisors and algebras on a double cover of the affine plane.
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Creator
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Bulj, Djordje., Charles E. Schmidt College of Science, Department of Mathematical Sciences
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Abstract/Description
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An algebraic surface defined by an equation of the form z2 = (x+a1y) ... (x + any) (x - 1) is studied, from both an algebraic and geometric point of view. It is shown that the surface is rational and contains a singular point which is nonrational. The class group of Weil divisors is computed and the Brauer group of Azumaya algebras is studied. Viewing the surface as a cyclic cover of the affine plane, all of the terms in the cohomology sequence of Chase, Harrison and Roseberg are computed.
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Date Issued
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2012
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PURL
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http://purl.flvc.org/FAU/3355618
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Subject Headings
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Algebraic number theory, Geometry, Data processing, Noncommutative differential geometry, Mathematical physics, Curves, Algebraic, Commutative rings
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Format
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Document (PDF)
